Answer:
5115
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a((r^{n})-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 5 and r = 2 , thus
[tex]S_{10}[/tex] = [tex]\frac{5(2^{10}-1) }{2-1}[/tex] = 5 (1024 - 1) = 5 × 1023 = 5115
